triangle upper T upper I upper C is an Isosceles triangle with a vertex angle I. If the measure of angle upper I equals 90 degrees, then find the measure of angle upper T.

Question

(1 point)

Answer 1

Since triangle TIC is isosceles, we know that the base angles T and C must be congruent. Since angle I is 90 degrees, this means that angles T and C must be equal to the remaining angles in the triangle.

The sum of the angles in a triangle is 180 degrees. Therefore, the measure of angle T and C combined is 180 - 90 = <<180-90=90>>90 degrees. Since they are congruent, each angle must measure 90/2 = <<90/2=45>>45 degrees.

Therefore, the measure of angle T is 45 degrees.